standard newtonian gravity help

I'm making a top down space shooter that involves orbiting around planets at high velocities. I need to make it so that the amount of gravitational pull a planet has is translated directly to the mass of the planet and the mass of the object that it is pulling. I also need to make it so the character won't hit the planets unless they are traveling directly at them above a certain velocity. If they're below this velocity, gravitational pull will deflect their trajectory into the orbit of that planet or another planet.

I know the standard equation for this is Fg = G (m1 * m2 ) / r^2...but as an artist I'm not sure how to get that into scripting reliably.


Any suggestions?

 

Your avatar is rather unsettling

If your question is simply how to convert the equation:

Code (csharp):

1. Fg = G (m1 * m2 ) / r^2

To code and to apply the resultant force, then here's some completely untested C# code showing how it might be done:

Code (csharp):

1. void applyGravitationalForces(Rigidbody body1, Rigidbody body2, float G)
2. {
3.     Vector3 diff = body2.transform.position - body1.transform.position;
4.     float r = diff.magnitude;
5.     diff /= r;
6.     float F = (G * body1.mass * body2.mass) / (r * r);
7.     body1.AddForce(diff * F);
8.     body2.AddForce(-diff * F);
9. }

Not sure if that's what you're looking for though.